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Traffic flow modelling
Ježková, Jitka ; Opluštil, Zdeněk (referee) ; Kisela, Tomáš (advisor)
Tato diplomová práce prezentuje problematiku dopravního toku a jeho modelování. Zabývá se především několika LWR modely, které následně rozebírá a hledá řešení pro počáteční úlohy. Ukazuje se, že ne pro všechny počáteční úlohy lze řešení definovat na celém prostoru, ale jen v určitém okolí počáteční křivky. Proto je dále odvozena metoda výpočtu velikosti tohoto okolí a to nejen zcela obecně, ale i pro dané modely. Teoretický rozbor LWR modelů a řešení počátečních úloh jsou demonstrovány několika příklady, které zřetelně ukazují, jak se dopravní tok simulovaný danými modely chová.
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Traffic Model
Bilan, Martin ; Hynčica, Ondřej (referee) ; Honzík, Petr (advisor)
This Master thesis was created as research for project GA 102/09/1897 Security in car traffic - BAD, which is i.a. considers testing of continuousness of traffic with dynamically updated navigation. Main goal of project is simulator of traffic infrastructure creation. Simulators are two. One of them evaluate trafiic flow on bigger network of roads and crossroads. Second one simulate behaviour of cars during passage of crossroads. In this project is as well parsed theory of traffic activity and mentioned theoretical principles on which are built both simulators.
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A traffic flow with a bottelneck
Kovařík, Adam ; Janovský, Vladimír (advisor) ; Vejchodský, Tomáš (referee)
Title: A traffic flow with a bottelneck Author: Adam Kovařík Department: Department of Numerical Mathematics Supervisor: prof. RNDr. Vladimír Janovský, DrSc. Supervisor's e-mail address: janovsky@karlin.mff.cuni.cz Abstract: In this paper we study a microscopic follow-the-leader traffic model on a circu- lar road with a bottleneck. We assume that all drivers are identical and overtaking is not permitted. We sketch a small part of the rich dynamics of the model including Hopf and Neimark-Sacker bifurcations. We introduce so called POM and quasi-POM solutions and an algorithm how to search them. The main goal of this work is to investigate how the optimal velocity model with a bottleneck deals with so called aggressive behavior of dri- vers. The effect of variable reaction time and a combination of both named factors is also tested. Using numerical simulations we'll find out that aggressiveness and faster reactions have positive effect on traffic flow. In the end we discuss models with two bottlenecks and with one extraordinary driver. Keywords: dynamical systems, ODEs, traffic flow, bottleneck, aggressiveness. 1
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Aktivní prvky bezpečnosti provozu na pozemních komunikacích
Bláha, Karel
Thesis on Active safety elements of road is focused on active safety in traffic, especially on parts of roads to guide and regulate traffic. Above it is applied in a particular location, is in the Moravská Třebová, both on local roads and on roads II. classes, is roads managed by the Pardubice region. The prerequisite undergraduate thesis is the solution of hazardous sections of roads with the help of active safety features and soothing, directing any traffic on local roads. The aim is to achieve safe traffic area, not only on designated roads, but in the whole areas of the city in relation to aspects that traffic in these neighborhoods influence. The outcome is a safe city in regard to all the participants of road on which they are safely operated vehicles and operate safely moving pedestrians, cyclists, children and others.
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A traffic flow with a bottelneck
Kovařík, Adam ; Janovský, Vladimír (advisor) ; Vejchodský, Tomáš (referee)
Title: A traffic flow with a bottelneck Author: Adam Kovařík Department: Department of Numerical Mathematics Supervisor: prof. RNDr. Vladimír Janovský, DrSc. Supervisor's e-mail address: janovsky@karlin.mff.cuni.cz Abstract: In this paper we study a microscopic follow-the-leader traffic model on a circu- lar road with a bottleneck. We assume that all drivers are identical and overtaking is not permitted. We sketch a small part of the rich dynamics of the model including Hopf and Neimark-Sacker bifurcations. We introduce so called POM and quasi-POM solutions and an algorithm how to search them. The main goal of this work is to investigate how the optimal velocity model with a bottleneck deals with so called aggressive behavior of dri- vers. The effect of variable reaction time and a combination of both named factors is also tested. Using numerical simulations we'll find out that aggressiveness and faster reactions have positive effect on traffic flow. In the end we discuss models with two bottlenecks and with one extraordinary driver. Keywords: dynamical systems, ODEs, traffic flow, bottleneck, aggressiveness. 1
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Traffic flow modelling
Ježková, Jitka ; Opluštil, Zdeněk (referee) ; Kisela, Tomáš (advisor)
Tato diplomová práce prezentuje problematiku dopravního toku a jeho modelování. Zabývá se především několika LWR modely, které následně rozebírá a hledá řešení pro počáteční úlohy. Ukazuje se, že ne pro všechny počáteční úlohy lze řešení definovat na celém prostoru, ale jen v určitém okolí počáteční křivky. Proto je dále odvozena metoda výpočtu velikosti tohoto okolí a to nejen zcela obecně, ale i pro dané modely. Teoretický rozbor LWR modelů a řešení počátečních úloh jsou demonstrovány několika příklady, které zřetelně ukazují, jak se dopravní tok simulovaný danými modely chová.
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Traffic Model
Bilan, Martin ; Hynčica, Ondřej (referee) ; Honzík, Petr (advisor)
This Master thesis was created as research for project GA 102/09/1897 Security in car traffic - BAD, which is i.a. considers testing of continuousness of traffic with dynamically updated navigation. Main goal of project is simulator of traffic infrastructure creation. Simulators are two. One of them evaluate trafiic flow on bigger network of roads and crossroads. Second one simulate behaviour of cars during passage of crossroads. In this project is as well parsed theory of traffic activity and mentioned theoretical principles on which are built both simulators.
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Základní principy v modelování dopravních toků
Šimáně, Čestmír ; Fábry, Jan (advisor) ; Kořenář, Václav (referee)
Research workers started to investigate traffic flows already in thirtieth years of twentieth century. But it is true that in these times was minimal the number of vehicles on roads. However, at the end of fifties this number started to increase. So according to this it was necessary to find sophistry tools to their monitoring. More engineers interested in the theory of traffic flow and they started to describe interactions between vehicles through new theories and models. Nowadays, this work continues, because the number of vehicles on roads is still increasing. The aim of this thesis is to make reader understood the basic terms, quantities, approaches and models in theory of traffic flow.
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